Remember, all the interior angles of a triangle equals 180.
So in triangle ABC, it already gives us two out of the three angles.
First, we add 52 and 36 and that gives us 88.
Now we subtract 88 from 180.
180 - 88 = 92
So that means that ∠ABC is 92°
Now we have to look at triangle DEF.
The equation says that triangle DEF is similar to triangle ABC.
Looking at the picture, triangle DEF is smaller and is flipped upside down.
So that means that ∠ABC ≈ ∠DEF
In similar triangles, the measurements of angles does NOT change. Just the side length.
So since ∠ABC = 92° that means that ∠DEF = 92°
The function for a is (f o g) (x) = 8x^2-10.
Explanation
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I already knew that the g of x is equal to

so I substitute inside of the g of x

=======>

=============>
simplify it

=======>

=========>

Answer:
<h2>1.84feet</h2>
Step-by-step explanation:
Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;
Range 
U is the velocity of the arrow
H is the maximum height reached = distance below the bullseye reached by the arrow.
R is the horizontal distance covered i.e the distance of the target from the archer.
g is the acceleration due to gravity.
Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?
On substitution,

Squaring both sides we have;

The arrow will hit the target 1.84feet below the bullseye.
Answer:
3/5
Step-by-step explanation:
60% means 60 out of 100. For example if you get 60 marks in an exam of 100 marks. This means you got 60% marks.
Which is 60/100. This fraction can further be reduced to 6/10 [divide both numerator and denominator by 10)
6/10 = 3/5 [divide both numerator and denominator by 2)
So, the reduced form of 60% =3/5
8 hours is twice as many as 4:
Multiply the number of windows in 4 hours by 2:
32 x 2 = 64 windows in 8 hours